Holdings: Classification of nuclear C*-algebras

Classification of nuclear C*-algebras: entropy in operator algebras

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Bibliographic Details
Main Authors:	Rørdam, Mikael 1959- (Author), Størmer, Erling (Author)
Format:	Book
Language:	English
Published:	Berlin [u.a.] Springer 2002
Series:	Encyclopaedia of mathematical sciences 126
Subjects:	C-algebra's C-algèbres Operatortheorie C*-algebras Operatoralgebra C-Stern-Algebra Entropie
Online Access:	Inhaltsverzeichnis
Physical Description:	VII, 198 S.
ISBN:	3540423052

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MARC


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adam_text	M. R0RDAM E. ST0RMER CLASSIFICATION OF NUCLEAR C-ALGEBRAS. ENTROPY IN OPERATOR ALGEBRAS SPRINGER I. CLASSIFICATION OF NUCLEAR, SIMPLE C-ALGEBRAS M. RORDAM CONTENTS PREFACE 3 INTRODUCTION 4 CHAPTER 1 AF-ALGEBRAS AND THEIR CLASSIFICATION 6 1.1 THE ORDERED /CO-GROUP OF A C-ALGEBRA 6 1.2 BASIC PROPERTIES OF AF-ALGEBRAS 12 1.3 THE CLASSIFICATION OF AF-ALGEBRAS 17 1.4 DIMENSION GROUPS . 20 1.5 IDEALS AND TRACES IN AF-ALGEBRAS 22 CHAPTER 2 PRELIMINARIES 24 2.1 NUCLEAR C-ALGEBRAS 24 2.2 THE ELLIOTT CONJECTURE 25 2.3 APPROXIMATE INTERTWININGS 30 2.4 K K -THEORY AND THE UNIVERSAL COEFFICIENT THEOREM 34 2.5 UNIQUENESS AND EXISTENCE THEOREMS TOWARDS A CLASSIFICATION ... 40 CHAPTER 3 CLASSIFICATION RESULTS FOR FINITE C-ALGEBRAS 42 3.1 ON THE STRUCTURE OF AH-ALAEBRAS 43 2 M. R0RDAM 3.2 CLASSIFICATION OF AT-ALGEBRAS 48 3.3 CLASSIFICATION OF AH-ALGEBRAS 58 3.4 ASH-ALGEBRAS AND FURTHER DEVELOPMENTS 62 CHAPTER 4 PURELY INFINITE SIMPLE C-ALGEBRAS 66 4.1 ALGEBRAIC PROPERTIES 66 4.2 CUNTZ ALGEBRAS 70 4.3 REALIZING ALL COUNTABLE ABELIAN GROUPS AS K -GROUPS 75 4.4 CUNTZ-KRIEGER ALGEBRAS AND THEIR GENERALIZATIONS 78 CHAPTER 5 ON 2 - 86 5.1 A UNIQUENESS THEOREM FOR ( 86 5.2 ON R? 2 % 89 CHAPTER 6 NUCLEAR AND EXACT C-ALGEBRAS 91 6.1 NUCLEAR AND EXACT C-ALGEBRAS 91 6.2 LIMIT ALGEBRAS 95 6.3 KIRCHBERG S EMBEDDING THEOREMS FOR NUCLEAR AND EXACT C-ALGEBRAS 98 CHAPTER 7 TENSOR PRODUCTS BY ^ AND BY %O 108 7.1 ON A 8 62 109 7.2 ON/T^ 110 CHAPTER 8 CLASSIFICATION OF KIRCHBERG ALGEBRAS 114 8.1 EQUIVALENCE AND ADDITION OF -HOMOMORPHISMS 114 8.2 PHILLIPS APPROACH 115 8.3 KIRCHBERG S WEYL-VON NEUMANN THEOREM 125 8.4 THE ISOMORPHISM THEOREMS 127 REFERENCES : 135 LIST OF SYMBOLS 141 INDEX 143
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author	Rørdam, Mikael 1959- Størmer, Erling
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isbn	3540423052
language	English
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physical	VII, 198 S.
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series	Encyclopaedia of mathematical sciences
series2	Encyclopaedia of mathematical sciences Encyclopaedia of mathematical sciences / Operator algebras and non-commutative geometry
spelling	Rørdam, Mikael 1959- Verfasser (DE-588)174092466 aut Classification of nuclear C-algebras entropy in operator algebras M. Rørdam ; E. Størmer Berlin [u.a.] Springer 2002 VII, 198 S. txt rdacontent n rdamedia nc rdacarrier Encyclopaedia of mathematical sciences 126 Encyclopaedia of mathematical sciences / Operator algebras and non-commutative geometry 7 C-algebra's gtt C-algèbres Operatortheorie gtt C-algebras Operatoralgebra (DE-588)4129366-6 gnd rswk-swf C-Stern-Algebra (DE-588)4136693-1 gnd rswk-swf Entropie (DE-588)4014894-4 gnd rswk-swf C-Stern-Algebra (DE-588)4136693-1 s Operatoralgebra (DE-588)4129366-6 s Entropie (DE-588)4014894-4 s DE-604 Størmer, Erling Verfasser aut Operator algebras and non-commutative geometry Encyclopaedia of mathematical sciences 7 (DE-604)BV014111511 7 Encyclopaedia of mathematical sciences 126 (DE-604)BV024126459 126 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009618739&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Rørdam, Mikael 1959- Størmer, Erling Classification of nuclear C-algebras entropy in operator algebras Encyclopaedia of mathematical sciences C-algebra's gtt C-algèbres Operatortheorie gtt C-algebras Operatoralgebra (DE-588)4129366-6 gnd C-Stern-Algebra (DE-588)4136693-1 gnd Entropie (DE-588)4014894-4 gnd
subject_GND	(DE-588)4129366-6 (DE-588)4136693-1 (DE-588)4014894-4
title	Classification of nuclear C*-algebras entropy in operator algebras
title_auth	Classification of nuclear C*-algebras entropy in operator algebras
title_exact_search	Classification of nuclear C*-algebras entropy in operator algebras
title_full	Classification of nuclear C*-algebras entropy in operator algebras M. Rørdam ; E. Størmer
title_fullStr	Classification of nuclear C*-algebras entropy in operator algebras M. Rørdam ; E. Størmer
title_full_unstemmed	Classification of nuclear C*-algebras entropy in operator algebras M. Rørdam ; E. Størmer
title_short	Classification of nuclear C*-algebras
title_sort	classification of nuclear c algebras entropy in operator algebras
title_sub	entropy in operator algebras
topic	C-algebra's gtt C-algèbres Operatortheorie gtt C*-algebras Operatoralgebra (DE-588)4129366-6 gnd C-Stern-Algebra (DE-588)4136693-1 gnd Entropie (DE-588)4014894-4 gnd
topic_facet	C-algebra's C-algèbres Operatortheorie C*-algebras Operatoralgebra C-Stern-Algebra Entropie
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009618739&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV014111511 (DE-604)BV024126459
work_keys_str_mv	AT rørdammikael classificationofnuclearcalgebrasentropyinoperatoralgebras AT størmererling classificationofnuclearcalgebrasentropyinoperatoralgebras

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